What about worshipping the Church?
You wrote:
“What about worshipping the Church?”
You could always make up a word: “churcholatry”, but there is already an actual word: “ecclesiolatry”: http://www.tiscali.co.uk/reference/dictionaries/difficultwords/data/d0004918.html
I know it appears in some printed dictionaries too. Random House Unabridged is one. According to it, the term dates back to about 1845.
The real issue would be, however, who actually worships a church? No one. And the definition seems to take that into account by lowering the threshold of the literal meaning of the word: “ worship of or undue devotion to church.” Undue devotion (and who decides what is undue anyway?) is still not worship.
But at least now you have a proper word even if you have nothing to apply it to!